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In this work, the thermodynamic property of pseudoharmonic potential in thepresence of external magnetic and AB fields is investigated. We used effectiveBoltzmann factor within the superstatistics formalism to obtain thethermodynamic properties such as Helmholtz free energy (F), Internal energy(U), entropy(S) and specific heat (C) of the system. In addition, we discussthe result of the thermodynamic properties of some selected diatomic moleculesof N2, Cl2, I2 and CH using their experimental spectroscopic parameters andthat of the variation of the deformation parameter of q=0,0.3,0.7. We alsoillustrated with some graphs for clarity of our results in both cases.

Superstatistics of Schr\"odinger Equation with Pseudoharmonic potential in an External Magnetic and Aharanov-Bohm(AB) Fields